We follow the methodology used to desingularise the origin showed in [1]}. First, we observe that setting \(u=0\)  in system (REF ) the second equation \(dv/dt=-v^2\left(SA\right)<0\)  for \(v\ge 0\) . That is any trajectory starting along the \(v-axes\)  converges to the origin \(\left(0,0\right)\) . Also, the Jacobian matrix, \(J\left(0,0\right)\) , is the zero matrix. Hence the origin \(\left(0,0\right)\)  is a non-hyperbolic equilibrium of system (REF ).
Therefore, we will use the blow-upNote that since the horizontal blow-up in (REF ) does not give any further information we omit the details. method to desingularise the origin and study the dynamics of this equilibrium.
